Solve 2/7m+3=4/7m+7

$$\frac { 2 } { 7 } m + 3 = \frac { 4 } { 7 } m + 7$$

Solve for m

$$m=-14$$

Steps for Solving Linear Equation

Subtract \frac{4}{7}m from both sides.

$$\frac{2}{7}m+3-\frac{4}{7}m=7$$

Combine \frac{2}{7}m and -\frac{4}{7}m to get -\frac{2}{7}m.

$$-\frac{2}{7}m+3=7$$

Subtract 3 from both sides.

$$-\frac{2}{7}m=7-3$$

Subtract 3 from 7 to get 4.

$$-\frac{2}{7}m=4$$

Multiply both sides by -\frac{7}{2}, the reciprocal of -\frac{2}{7}.

$$m=4\left(-\frac{7}{2}\right)$$

Express 4\left(-\frac{7}{2}\right) as a single fraction.

$$m=\frac{4\left(-7\right)}{2}$$

Multiply 4 and -7 to get -28.

$$m=\frac{-28}{2}$$

Divide -28 by 2 to get -14.

$$m=-14$$